Rigid and Non-Rigid Transformations

Front

What is a rigid transformation?

Back

A transformation that preserves the shape and size of a figure, including translations, rotations, and reflections.

Front

What is a non-rigid transformation?

Back

A transformation that alters the shape or size of a figure, such as dilation.

Front

Which transformations are considered rigid transformations?

Back

Translations, rotations, and reflections.

Front

What is translation in geometry?

Back

A transformation that moves every point of a figure the same distance in the same direction.

Front

What is reflection in geometry?

Back

A transformation that flips a figure over a line, creating a mirror image.

Front

What is rotation in geometry?

Back

A transformation that turns a figure around a fixed point at a certain angle.

Front

How do you perform a translation of a point?

Back

Add the translation values to the coordinates of the point.

Front

What is the result of reflecting a point across the x-axis?

Back

The y-coordinate of the point changes sign, while the x-coordinate remains the same.

Front

What happens to the coordinates of a point when it is rotated 90 degrees clockwise?

Back

The new coordinates (x', y') become (y, -x).

Front

What is the difference between a rotation and a reflection?

Back

A rotation turns a figure around a point, while a reflection flips it over a line.